{"paper":{"title":"Character correspondences induced by magic representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Frieder Ladisch","submitted_at":"2010-04-26T14:24:41Z","abstract_excerpt":"Let G be a finite group, K a normal subgroup of G and H a subgroup such that G = HK, and set L = H \\cap K. Suppose \\theta \\in Irr K and \\phi \\in Irr L, and \\phi\\ occurs in \\theta_L with multiplicity n > 0. A projective representation of degree n on H/L is defined in this situation; if this representation is ordinary, it yields a bijection between Irr(G | \\theta) and Irr(H | \\phi). The behavior of fields of values and Schur indices under this bijection is described. A modular version of the main result is proved. We show that the theory applies if n and the order of H/L are coprime. Finally, as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4538","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}